Riding out the storm: Kim Kardashian took to her website to insist claims made by The New York Post were untrue

Kim and Khloe Kardashian have hit out at claims their family's bubble is about to burst.

Businesswoman Kim took to her website to thwart rumours the Kardashian star is in decline, branding accusations made by The New York Post as 'lies'.

The reality star, 31, wrote: 'We face adversity every week and as you all know, we have always tried to take the high road and continue to work hard.

'But when the media try to manipulate things and write things that are untrue about our business ventures and our shows, it’s time to step in and correct the lies.

'As a family we work extremely hard and we are very proud of what we have achieved, and it’s disappointing to see people try to tear that down.'

Her younger sister Khloe, 27, joined the star in defending Kardashian territory, taking to her own website to post a livid response to the claims.

Khloe described the scathing article as 'the straw that broke the camel's back'.

Brave face: Kim Kardashian has defended her family with the help of Forbes magazine

She wrote: 'As I’m sure you all know, recently our family has been receiving a lot of criticism, which of course has hurt, but luckily we’re a strong bunch and we always have each other’s backs so we didn’t let it get to us too much.

'But then today, an article was released by the NY Post that was so unbelievably false that we all felt a need to step up and defend ourselves. There have been so many rumors swirling and this one was really just the straw that broke the camel’s back for me.'

Kim was spotted attempting to take the events in her stride today, when she was seen in Beverly Hills sporting an all-black outfit and a less than happy expression.

Sticking together: The Kardashians (L-R Kourtney, Khloe and Kim) have thwarted rumours their star is in decline

The report in the New York Post today claimed the stars are 'no longer sought-after celebrities', and insisted that there is a backlash brewing against the clan which is hitting them where it really hurts - in their very deep pockets.

The Post claimed the family have suffered falling ratings, lost contracts and a decline in magazine pulling power following the swift demise of Kim Kardashian’s marriage Kris Humphries.

However Forbes magazine has stated that while the Keeping Up With The Kardashians reality show dipped in viewing figures between the fifth and six seasons - from an average of 3.5m to 3m - the current spin-off series is doing better than ever.

Do the Kardashians still have the Midas touch? The reality TV family are facing claims the are falling out of favour

This season of Kourtney and Kim Take New York is averaging its highest in four seasons with over 3 million total viewers each week - up 43 per cent from the prior season.

A spokesman told Mail Online: 'The most recent Sunday night premiere broke records as the most-watched episode of the series ever averaging over 3.3 million total viewers.

'These numbers are a very good indication of the staying power of this show, the continued interest in the family and the overall success of the franchise.'

The Post also reported that American tabloid magazine covers featuring the Kardashians have seen a drop in sales.

Riding high: Kim stepped out in a Seventies style trousers yesterday

However, editor-in-chief of Life & Style Dan Wakeford says: 'Interest in them is stronger than ever. Magazine covers featuring the Kardashians have consistently sold well for Life & Style.'

And despite recent claims that Kim was dropped by Skechers and replaced by a bulldog in their new adverts, the footwear company was quick to come forward and insist it was simply a case of her contract ending.

Skechers Fitness president Leonard Armato said: 'While Kim's contract with Skechers simply came to an end at the end of last year, we continue to have a great relationship with her as we do with all the other talent who have worked with the brand over the years.

'To say that she was "dropped" or "replaced" is misleading and untrue. Skechers has enjoyed and continues to enjoy the relationship with Kim, and in fact we continue to discuss ways that we may work together in the future.'

But there has been a indisputable shift in attitude towards the family since Kim announced her marriage split.

Critics were fast to come forward to say she made a mockery out of marriage to make hard cash - a reported $18m.

There were calls to boycott the show from an online internet campaign - which garnered thousands of petitions - but the show went on, with E! bosses getting to rub their hands together at the extra 800,000 viewers an episode tuning in to watch Kim's marital meltdown

Claims: It has also been reported that Kim keeps 90 per cent of the profits of her charity auctions

Kim's own former PR Jonathan Jaxson - who worked with her between 2007 and 2009 - came forward following her wedding split and said didn't help her cause by saying it was all a big sham and a publicity opportunity.

Meanwhile, it has also been claimed that both Kim and her sister Khloe have been keeping 90 per cent of the proceeds from their charity auctions on eBay.

According to Fox News' Pop Tarts column, the siblings both abide by the minimum amount they are required to give to charity through eBay's GivingWorks after auctioning off various personal items.

Glenn Selig, President/CEO of Selig Multimedia, told Pop Tarts: 'Many times the public assumes that all the proceeds go to charity and not the celebrity.

'But that is often not the case. The public should never assume that 100 percent goes to charity.'